Model fit

Column

Assumption checks

Column

Indices of model fit

Metric Value
AIC 3356.97
AICc 3357.08
BIC 3405.31
R2 (cond.) 0.59
R2 (marg.) 0.51
ICC 0.15
RMSE 0.61
Sigma 0.64

For interpretation of performance metrics, please refer to this documentation.

Parameter estimates

Column

Plot

Column

Tabular summary

# Fixed Effects
Parameter Coefficient SE 95% CI t(1581) p
(Intercept) 6.54e-03 0.02 (-0.04, 0.05) 0.29 0.772
BEAUTY z 0.11 0.02 (0.07, 0.15) 5.87 < .001
INTENT z -0.23 0.02 (-0.26, -0.19) -12.08 < .001
ALIGN z 0.46 0.02 (0.43, 0.50) 24.05 < .001
DATA z -0.17 0.02 (-0.20, -0.13) -9.01 < .001
BEAUTY z × INTENT z 0.05 0.02 (0.02, 0.09) 3.17 0.002
INTENT z × ALIGN z 0.05 0.02 (0.02, 0.08) 3.20 0.001
# Random Effects
Parameter Coefficient
SD (Intercept: PID) 0.27
SD (Residual) 0.64

To find out more about table summary options, please refer to this documentation.

Predicted Values

Column

Plot

Column

Tabular summary

Text reports

Column

Textual summary

We fitted a linear mixed model (estimated using REML and nloptwrap optimizer) to predict TRUST_z with BEAUTY_z, INTENT_z, ALIGN_z and DATA_z (formula: TRUST_z ~ BEAUTY_z * INTENT_z + INTENT_z * ALIGN_z + DATA_z). The model included PID as random effect (formula: ~1 | PID). The model’s total explanatory power is substantial (conditional R2 = 0.59) and the part related to the fixed effects alone (marginal R2) is of 0.51. The model’s intercept, corresponding to BEAUTY_z = 0, INTENT_z = 0, ALIGN_z = 0 and DATA_z = 0, is at 6.54e-03 (95% CI (-0.04, 0.05), t(1581) = 0.29, p = 0.772). Within this model:

  • The effect of BEAUTY z is statistically significant and positive (beta = 0.11, 95% CI (0.07, 0.15), t(1581) = 5.87, p < .001; Std. beta = 0.11, 95% CI (0.07, 0.14))
  • The effect of INTENT z is statistically significant and negative (beta = -0.23, 95% CI (-0.26, -0.19), t(1581) = -12.08, p < .001; Std. beta = -0.23, 95% CI (-0.26, -0.19))
  • The effect of ALIGN z is statistically significant and positive (beta = 0.46, 95% CI (0.43, 0.50), t(1581) = 24.05, p < .001; Std. beta = 0.47, 95% CI (0.43, 0.50))
  • The effect of DATA z is statistically significant and negative (beta = -0.17, 95% CI (-0.20, -0.13), t(1581) = -9.01, p < .001; Std. beta = -0.17, 95% CI (-0.20, -0.13))
  • The effect of BEAUTY z × INTENT z is statistically significant and positive (beta = 0.05, 95% CI (0.02, 0.09), t(1581) = 3.17, p = 0.002; Std. beta = 0.05, 95% CI (0.02, 0.09))
  • The effect of INTENT z × ALIGN z is statistically significant and positive (beta = 0.05, 95% CI (0.02, 0.08), t(1581) = 3.20, p = 0.001; Std. beta = 0.05, 95% CI (0.02, 0.08))

Standardized parameters were obtained by fitting the model on a standardized version of the dataset. 95% Confidence Intervals (CIs) and p-values were computed using a Wald t-distribution approximation. The model’s total explanatory power is substantial (conditional R2 = 0.59) and the part related to the fixed effects alone (marginal R2) is of 0.51

Column

Model information

---
title: "Regression model summary from `{easystats}`"
output:
  flexdashboard::flex_dashboard:
    theme:
      version: 4
      # bg: "#101010"
      # fg: "#FDF7F7"
      primary: "#0054AD"
      base_font:
        google: Prompt
      code_font:
        google: JetBrains Mono
params:
  model: model
  check_model_args: check_model_args
  parameters_args: parameters_args
  performance_args: performance_args
---

```{r setup, include=FALSE}
library(flexdashboard)
library(easystats)

# Since not all regression model are supported across all packages, make the
# dashboard chunks more fault-tolerant. E.g. a model might be supported in
# `{parameters}`, but not in `{report}`.
#
# For this reason, `error = TRUE`
knitr::opts_chunk$set(
  error = TRUE,
  out.width = "100%"
)

# helper function for printing `{report}` outputs
bracket_to_parantheses <- function(text) {
  gsub("]", ")", gsub("[", "(", text, fixed = TRUE), fixed = TRUE)
}
```

```{r easydashboard-1}
# Get user-specified model data
model <- params$model

# Is it supported by `{easystats}`? Skip evaluation of the following chunks if not.
is_supported <- insight::is_model_supported(model)

if (!is_supported) {
  unsupported_message <- sprintf(
    "Unfortunately, objects of class `%s` are not yet supported in {easystats}.\n
    For a list of supported models, see `insight::supported_models()`.",
    class(model)[1]
  )
}
```


Model fit
=====================================

Column {data-width=700}
-----------------------------------------------------------------------

### Assumption checks

```{r check-model, eval=is_supported, fig.height=10, fig.width=10}
check_model_args <- c(list(model), params$check_model_args)
# add verbose, if not done yet
if (is.null(check_model_args$verbose)) check_model_args$verbose <- FALSE
tryCatch(
  {
    do.call(performance::check_model, check_model_args)
  },
  error = function(e) {
    cat(insight::format_message(
      "\nSomething did not work as expected. Please file an issue at {.url https://github.com/easystats/easystats/issues/} and post the following output:",
      paste0("\n`", e$message, "`")
    ))
  }
)
```

```{r easydashboard-2, eval=!is_supported}
cat(unsupported_message)
```

Column {data-width=300}
-----------------------------------------------------------------------

### Indices of model fit

```{r easydashboard-3, eval=is_supported}
# {performance}
performance_args <- c(list(model), params$performance_args)
# add verbose, if not done yet
if (is.null(performance_args$verbose)) performance_args$verbose <- FALSE
table_performance <- do.call(performance::performance, performance_args)
print_md(table_performance, layout = "vertical", caption = NULL)
```


```{r easydashboard-4, eval=!is_supported}
cat(unsupported_message)
```

For interpretation of performance metrics, please refer to <a href="https://easystats.github.io/performance/reference/model_performance.html" target="_blank">this documentation</a>.

Parameter estimates
=====================================

Column {data-width=550}
-----------------------------------------------------------------------

### Plot

```{r dot-whisker, eval=is_supported}
# `{parameters}`
parameters_args <- c(list(model), params$parameters_args)
# add verbose, if not done yet
if (is.null(parameters_args$verbose)) parameters_args$verbose <- FALSE
table_parameters <- do.call(parameters::parameters, parameters_args)

plot(table_parameters)
```


```{r easydashboard-5, eval=!is_supported}
cat(unsupported_message)
```

Column {data-width=450}
-----------------------------------------------------------------------

### Tabular summary

```{r easydashboard-6, eval=is_supported}
print_md(table_parameters, caption = NULL)
```


```{r easydashboard-7, eval=!is_supported}
cat(unsupported_message)
```

To find out more about table summary options, please refer to <a href="https://easystats.github.io/parameters/reference/model_parameters.html" target="_blank">this documentation</a>.


Predicted Values
=====================================

Column {data-width=600}
-----------------------------------------------------------------------

### Plot

```{r expected-values, eval=is_supported, fig.height=10, fig.width=10}
# {modelbased}
int_terms <- find_interactions(model, component = "conditional", flatten = TRUE)
con_terms <- find_variables(model)$conditional

if (is.null(int_terms)) {
  model_terms <- con_terms
} else {
  model_terms <- clean_names(int_terms)
  int_terms <- unique(unlist(strsplit(clean_names(int_terms), ":", fixed = TRUE)))
  model_terms <- c(model_terms, setdiff(con_terms, int_terms))
}

# check some exceptions here: logistic regression models with factor response
# usually require the response to be included in the model, else `get_modelmatrix()`
# fails, which is required to compute SE/CI for `get_predicted()`
response <- find_response(model)
minfo <- model_info(model)
model_data <- get_data(model)
include_response <- minfo$is_binomial && minfo$is_logit && is.factor(model_data[[response]])

text_modelbased <- tryCatch(
  {
    lapply(unique(model_terms), function(i) {
      estimate_means(model, by = i, verbose = FALSE)
    })
  },
  error = function(e) {
    cat(insight::format_message(
      "\nSomething did not work as expected. Please file an issue at {.url https://github.com/easystats/easystats/issues/} and post the following output:",
      paste0("\n`", e$message, "`")
    ))
    NULL
  }
)

if (!is.null(text_modelbased)) {
  ggplot2::theme_set(theme_modern())
  # all_plots <- lapply(text_modelbased, function(i) {
  #   out <- do.call(visualisation_recipe, c(list(i), modelbased_args))
  #   plot(out) + ggplot2::ggtitle("")
  # })
  all_plots <- lapply(text_modelbased, function(i) {
    out <- visualisation_recipe(i, show_data = FALSE)
    plot(out) + ggplot2::ggtitle("")
  })

  see::plots(all_plots, n_columns = round(sqrt(length(text_modelbased))))
}
```


```{r easydashboard-8, eval=!is_supported}
cat(unsupported_message)
```

Column {data-width=400}
-----------------------------------------------------------------------

### Tabular summary

```{r easydashboard-9, eval=is_supported, results="asis"}
if (!is.null(text_modelbased)) {
  for (i in text_modelbased) {
    tmp <- print_md(i)
    tmp[length(tmp)] <- paste(insight::compact_character(strsplit(tmp[length(tmp)], "\n")[[1]]), collapse = "; ")
    print(tmp)
  }
}
```


```{r easydashboard-10, eval=!is_supported}
cat(unsupported_message)
```


Text reports
=====================================

Column {data-width=500}
-----------------------------------------------------------------------

### Textual summary

```{r easydashboard-11, eval=is_supported, results='asis', collapse=TRUE}
# {report}
text_report <- tryCatch(
  {
    report(model, verbose = FALSE)
  },
  error = function(e) {
    cat(insight::format_message(
      "\nSomething did not work as expected. Please file an issue at {.url https://github.com/easystats/easystats/issues/} and post the following output:",
      paste0("\n`", e$message, "`")
    ))
    NULL
  }
)


text_report_performance <- tryCatch(
  {
    report_performance(model, verbose = FALSE)
  },
  error = function(e) {
    cat(insight::format_message(
      "\nSomething did not work as expected. Please file an issue at {.url https://github.com/easystats/easystats/issues/} and post the following output:",
      paste0("\n`", e$message, "`")
    ))
    NULL
  }
)

if (!is.null(text_report)) {
  cat(bracket_to_parantheses(text_report))
  cat("\n")
}

if (!is.null(text_report_performance)) {
  cat(bracket_to_parantheses(text_report_performance))
}
```


```{r easydashboard-12, eval=!is_supported}
cat(unsupported_message)
```

Column {data-width=500}
-----------------------------------------------------------------------

### Model information

```{r easydashboard-13, eval=is_supported}
model_info_data <- insight::model_info(model, verbose = FALSE)
model_info_data <- datawizard::data_to_long(as.data.frame(insight::compact_list(model_info_data)))

DT::datatable(model_info_data)
```

```{r easydashboard-14, eval=!is_supported}
cat(unsupported_message)
```